Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Can A and can В are both right circular cylinders. The radiu [#permalink]

Show Tags

17 Mar 2011, 14:46

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

57% (02:21) correct
43% (01:16) wrong based on 138 sessions

HideShow timer Statistics

Can A and can В are both right circular cylinders. The radius of can A is twice the radius of can B, while the height of can A is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can A with the same brand of gasoline?

Re: 2. (KP) Can A and can В are both right circular cylinders. T [#permalink]

Show Tags

17 Mar 2011, 15:09

banksy wrote:

2. (KP) Can A and can В are both right circular cylinders. The radius of can A is twice the radius of can B, while the height of can A is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can A with the same brand of gasoline? (A) $1 (B) $2 (C) $4 (D) $8 (E) $16

Let x be the radius of b and 2h be the height of B. Therefore, radius of A = 2x and height = h

Vol of b = 3.14*x^2*2h Vol of a = 3.14*4x^2*h

cost to fill half of B = $4 --> cost to fill full B = $8 --> 3.14*x^2*2h = 8 --> 3.14*x^2*h = 4 --> 4*(3.14*x^2*h) = $16

Re: 2. (KP) Can A and can В are both right circular cylinders. T [#permalink]

Show Tags

19 Mar 2011, 02:52

banksy wrote:

2. (KP) Can A and can В are both right circular cylinders. The radius of can A is twice the radius of can B, while the height of can A is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can A with the same brand of gasoline? (A) $1 (B) $2 (C) $4 (D) $8 (E) $16

Let radius of B be r and A be 2r vol of B=πr^2h vol of a=4πr^2h (radius= (2r)) == twice the volume of B

To fill 1/2 of B it cost 4$ to fill B it cost 8 $ to fill 2b ie (a) it cost 16$

Re: 2. (KP) Can A and can В are both right circular cylinders. T [#permalink]

Show Tags

19 Mar 2011, 03:05

banksy wrote:

2. (KP) Can A and can В are both right circular cylinders. The radius of can A is twice the radius of can B, while the height of can A is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can A with the same brand of gasoline? (A) $1 (B) $2 (C) $4 (D) $8 (E) $16

Volume of right circular cylinder = 2πr^2h Let Radius of Can A= 4 Height of can A = 2 Volume of Can A = 2*π*r^2*h = 2*π*4^2*2 = 64π

Radius of can B = 2 Height of can B = 4 Volume of Can B= 2*π*r^2*h = 2*π*2^2*4 = 32π

1/2 of B= 32π/2=16π

thus cost required to fill can A = (4/16π)*64π= $16 Ans E.
_________________

Re: 2. (KP) Can A and can В are both right circular cylinders. T [#permalink]

Show Tags

22 Sep 2013, 20:34

sorry guys the answer is $ 8. lets consider the radius of can A to be 2x. radius of can B to be x. let the height of can A be y. Let the height of can B be 2y. Volume of a can A (pie 4x^2y) Volume of can B (pie 2 x^2 y). Since volume of can B is exactly half of can A. It costs $8 to fill can A completely.

sorry guys the answer is $ 8. lets consider the radius of can A to be 2x. radius of can B to be x. let the height of can A be y. Let the height of can B be 2y. Volume of a can A (pie 4x^2y) Volume of can B (pie 2 x^2 y). Since volume of can B is exactly half of can A. It costs $8 to fill can A completely.

Notice that we a re told that it costs $4.00 to fill half of can B. so the correct answer is E, not D.

Can A and can В are both right circular cylinders. The radius of can A is twice the radius of can B, while the height of can A is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can A with the same brand of gasoline?

(A) $1 (B) $2 (C) $4 (D) $8 (E) $16

Volume of B = \(\pi{r^2}h\) Volume of A = \(\pi{(2r)^2}(\frac{h}{2})=2\pi{r^2}h\).

Thus the volume of can A is twice the volume of cam B.

If it costs $4.00 to fill half of can B, then it costs 4*$4=$16 to completely fill can A.

Re: Can A and can В are both right circular cylinders. The radiu [#permalink]

Show Tags

28 Jan 2016, 00:07

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: Can A and can В are both right circular cylinders. The radiu [#permalink]

Show Tags

02 Feb 2016, 15:48

Hey guys,

one question. I first tried to pick some smart numbers. Apparently they weren't smart enough as I did not get the volume of cylinder A to be twice the volume of cylinder B. I picked 4 and 2 for radii and 3 and 6 for heights. Of course, if we pick 4 and 2 for radii and 2 and 4 for heights, we are fine. So my question then is, if I for whatever reason at the actual test decide to go with smart numbers strategy for such a problem, how can I avoid this mistake? What am I missing here?

one question. I first tried to pick some smart numbers. Apparently they weren't smart enough as I did not get the volume of cylinder A to be twice the volume of cylinder B. I picked 4 and 2 for radii and 3 and 6 for heights. Of course, if we pick 4 and 2 for radii and 2 and 4 for heights, we are fine. So my question then is, if I for whatever reason at the actual test decide to go with smart numbers strategy for such a problem, how can I avoid this mistake? What am I missing here?

Appreciate your help as always!

Best, Jay

Nothing! These numbers are fine too. You probably messed up the calculations somewhere.

Volume of a right circular cylinder \(= \pi*r^2*h\)

Volume of can A \(= \pi * 4^2* 3 = 48* \pi\) Volume of can B \(= \pi * 2^2 * 6 = 24* \pi\)

Volume of can A is twice the volume of can B.

OF course, you can stick with radii as 2r and r and heights as h and 2h since you just need the comparative volumes of the two cans.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...